How Do You Derive the Constructive Interference Equation for Reflection?

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To derive the equation for constructive interference in reflection, the equation 2t=(n+1/2)(lambda/index of refraction) must be validated. A diagram illustrating the setup is essential for visualizing the interference process. The discussion emphasizes the importance of understanding the phase change upon reflection and the path difference between the two waves. Participants express uncertainty about the derivation but highlight the need for clarity in the explanation. Ultimately, a well-constructed diagram and a thorough explanation of the phase relationships are crucial for demonstrating the equation's correctness.
baileya
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Homework Statement


Derive the equation 2t=(n+1/2)(lamba/index of refraction) to show it's the correct eq'n for constructive interference on reflection. Include a diagram.


Homework Equations


2t=(n+1/2)(lambda/index of refraction)


The Attempt at a Solution


I'm not sure how you'd show it's the correct eq'n...
 
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hi baileya! :smile:

(have a lambda: λ :wink:)
baileya said:
… Include a diagram.
…
I'm not sure how you'd show it's the correct eq'n...

you'd draw a diagram! :wink:

what does it show? :smile:​
 

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